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614431310410420 = 225136972242941193
BaseRepresentation
bin1000101110110100100110111…
…1111111101111001010110100
32222120112001121110110010222221
42023231021233333233022310
51121013320310431113140
610014441503002332124
7243264124441630156
oct21355115777571264
92876461543403887
10614431310410420
1116885a945598778
1258ab4aa27ba044
13204ac815aa5579
14aba28c3d78ad6
154b07b7d68814a
hex22ed26ffef2b4

614431310410420 has 24 divisors (see below), whose sum is σ = 1290399955967304. Its totient is φ = 245754580525056.

The previous prime is 614431310410339. The next prime is 614431310410439. The reversal of 614431310410420 is 24014013134416.

It can be written as a sum of positive squares in 4 ways, for example, as 25684664544016 + 588746645866404 = 5068004^2 + 24264102^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1121196657 + ... + 1121744536.

It is an arithmetic number, because the mean of its divisors is an integer number (53766664831971).

Almost surely, 2614431310410420 is an apocalyptic number.

It is an amenable number.

614431310410420 is an abundant number, since it is smaller than the sum of its proper divisors (675968645556884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

614431310410420 is a wasteful number, since it uses less digits than its factorization.

614431310410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242954899 (or 2242954897 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 614431310410420 its reverse (24014013134416), we get a palindrome (638445323544836).

The spelling of 614431310410420 in words is "six hundred fourteen trillion, four hundred thirty-one billion, three hundred ten million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 13697 27394 54788 68485 136970 273940 2242941193 4485882386 8971764772 11214705965 22429411930 44858823860 30721565520521 61443131041042 122886262082084 153607827602605 307215655205210 614431310410420